Finite Group Databasebeta

← C2×#13082808 #15660949

Subgroups — C2×#13082808 #15660949

Order 2816.

8166 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082808C2132yesmaximal, direct product factor
2C2×#10623178C211yesmaximal, characteristic, complemented
3C2×#10623197C211yesmaximal, characteristic, complemented
4C2×#10623151C211yesmaximal, characteristic, complemented
5C2×#10623226C211yesmaximal, characteristic, complemented
6C2×#10623192C211yesmaximal, characteristic, complemented
7C2×#10623190C211yesmaximal, characteristic, complemented
8C2×#10623168C211yesmaximal, characteristic, complemented
9C2×#10623143C211yesmaximal, characteristic, complemented
10C2×#10623207C211yesmaximal, characteristic, complemented
11C2×#10623207C211yesmaximal, characteristic, complemented
12C2×#10623185C211yesmaximal, characteristic, complemented
13C2×#10623161C211yesmaximal, characteristic, complemented
14C2×#10623161C211yesmaximal, characteristic, complemented
15C2×#10623140C211yesmaximal, characteristic, complemented
16C2×#10623140C211yesmaximal, characteristic, complemented
17C2×#10623194C211yesmaximal, characteristic, complemented
18C2×#10623146C211yesmaximal, characteristic, complemented
19C2×#10623223C211yesmaximal, characteristic, complemented
20C2×#10623169C211yesmaximal, characteristic, complemented
21C2×#10623169C211yesmaximal, characteristic, complemented
22C2×#10623209C211yesmaximal, characteristic, complemented
23C2×#10623209C211yesmaximal, characteristic, complemented
24C2×#10623144C211yesmaximal, characteristic, complemented
25C2×#10623160C211yesmaximal, characteristic, complemented
26C2×#10623184C211yesmaximal, characteristic, complemented
27C2×#10623184C211yesmaximal, characteristic, complemented
28C2×#10623136C211yesmaximal, characteristic, complemented
29C2×#10623158C211yesmaximal, characteristic, complemented
30C2×D11×#123C211yesmaximal, characteristic, complemented
31C2×D11×#121C211yesmaximal, characteristic, complemented
32C2×C11×#562C211yesmaximal, characteristic, complemented
33C22×#4343C2211yescharacteristic, complemented
34C22×#4343C2211yescharacteristic, complemented
35C22×D4×D11C2211yescharacteristic
36C22×D4×D11C2211yescharacteristic, complemented
37C22×D4×D11C2211yescharacteristic, complemented
38C22×D4×D11C2211yescharacteristic, complemented
39C22×D4×D11C2211yescharacteristic, complemented
40C22×D4×D11C2211yescharacteristic, complemented
41C22×#4339C2211yescharacteristic, complemented
42C23×D44C2211yescharacteristic, complemented
43C23×D44C2211yescharacteristic, complemented
44C23×C4×D11C2211yescharacteristic, complemented
45C11×#562C22116yescomplemented
46C2×C11×#125C2211yescharacteristic, complemented
47C2×C11×#124C2211yescharacteristic, complemented
48C2×C11×#124C2211yescharacteristic, complemented
49C2×C11×#123C2211yescharacteristic, complemented
50C2×C11×#123C2211yescharacteristic, complemented
51C2×C11×#123C2211yescharacteristic, complemented
52C2×C11×#123C2211yescharacteristic, complemented
53C2×C11×C22⋊Q8C2211yescharacteristic, complemented
54C2×C11×C22⋊Q8C2211yescharacteristic, complemented
55C2×C11×C22⋊Q8C2211yescharacteristic, complemented
56C2×C11×C22⋊Q8C2211yescharacteristic, complemented
57C2×C11×#121C2211yescharacteristic, complemented
58C2×C11×#121C2211yescharacteristic, complemented
59C2×C11×#121C2211yescharacteristic, complemented
60C2×C11×#121C2211yescharacteristic, complemented
61C2×#67000C2211yescharacteristic, complemented
62C2×#67000C2211yescharacteristic, complemented
63C2×#66999C2211yescharacteristic, complemented
64C2×#66999C2211yescharacteristic, complemented
65C2×#66999C2211yescharacteristic, complemented
66C2×#66999C2211yescharacteristic, complemented
67C2×#66993C2211yescharacteristic, complemented
68C2×#66993C2211yescharacteristic, complemented
69C2×#66992C2211yescharacteristic, complemented
70C2×#66992C2211yescharacteristic, complemented
71C2×#66992C2211yescharacteristic, complemented
72C2×#66992C2211yescharacteristic, complemented
73C2×#66992C2211yescharacteristic, complemented
74C2×#66991C2211yescharacteristic, complemented
75C2×#66991C2211yescharacteristic, complemented
76C2×#66991C2211yescharacteristic, complemented
77C2×#66990C2211yescharacteristic
78C2×#66990C2211yescharacteristic, complemented
79C2×#66990C2211yescharacteristic, complemented
80C2×#66990C2211yescharacteristic, complemented
81C2×#66990C2211yescharacteristic, complemented
82C2×#66990C2211yescharacteristic, complemented
83C2×#66989C2211yescharacteristic, complemented
84C2×#66988C2211yescharacteristic, complemented
85C2×#66983C2211yescharacteristic, complemented
86C2×#66983C2211yescharacteristic, complemented
87C2×#66983C2211yescharacteristic, complemented
88C2×#66982C2211yescharacteristic, complemented
89C2×#66982C2211yescharacteristic, complemented
90C2×#66982C2211yescharacteristic, complemented
91C2×C4×C22⋊D11C2211yescharacteristic, complemented
92C2×C4×C22⋊D11C2211yescharacteristic, complemented
93C2×C4×C22⋊D11C2211yescharacteristic, complemented
94C2×C4×C22⋊D11C2211yescharacteristic, complemented
95C2×C4×C22⋊D11C2211yescharacteristic, complemented
96C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
97#10623226C22116yescomplemented
98#10623223C22116yescomplemented
99#10623209C22116yescomplemented
100#10623209C22116yescomplemented
101#10623207C22116yescomplemented
102#10623207C22116yescomplemented
103#10623197C22116yescomplemented
104#10623194C22116yescomplemented
105#10623192C22116yescomplemented
106#10623190C22116yescomplemented
107#10623185C22116yescomplemented
108#10623184C22116yescomplemented
109#10623184C22116yescomplemented
110D11×#123C22116yescomplemented
111#10623178C22116yescomplemented
112#10623169C22116yescomplemented
113#10623169C22116yescomplemented
114#10623168C22116yescomplemented
115#10623161C22116yescomplemented
116#10623161C22116yescomplemented
117#10623160C22116yescomplemented
118#10623158C22116yescomplemented
119#10623151C22116yescomplemented
120#10623146C22116yescomplemented
121#10623144C22116yescomplemented
122#10623143C22116yescomplemented
123#10623140C22116yescomplemented
124#10623140C22116yescomplemented
125#10623136C22116yescomplemented
126D11×#121C22116yescomplemented
127C2×#66951C2211yescharacteristic, complemented
128C2×#66951C2211yescharacteristic, complemented
129C2×#66951C2211yescharacteristic, complemented
130C2×#66951C2211yescharacteristic, complemented
131C2×#66950C2211yescharacteristic, complemented
132C2×#66949C2211yescharacteristic, complemented
133C2×#66949C2211yescharacteristic, complemented
134C2×#66949C2211yescharacteristic, complemented
135C2×#66948C2211yescharacteristic
136C2×#66948C2211yescharacteristic, complemented
137C2×#66948C2211yescharacteristic, complemented
138C2×#66948C2211yescharacteristic, complemented
139C2×#66948C2211yescharacteristic, complemented
140C2×#66948C2211yescharacteristic, complemented
141C2×#66948C2211yescharacteristic, complemented
142C2×#66948C2211yescharacteristic, complemented
143C2×#66948C2211yescharacteristic, complemented
144C2×#66947C2211yescharacteristic, complemented
145C2×#66947C2211yescharacteristic, complemented
146C2×#66947C2211yescharacteristic, complemented
147C2×#66947C2211yescharacteristic, complemented
148C2×#66947C2211yescharacteristic, complemented
149C2×#66947C2211yescharacteristic, complemented
150C2×#66947C2211yescharacteristic, complemented
151C2×#66947C2211yescharacteristic, complemented
152C2×#66947C2211yescharacteristic, complemented
153C2×#66947C2211yescharacteristic, complemented
154C2×#66946C2211yescharacteristic, complemented
155C2×#66946C2211yescharacteristic, complemented
156C2×#66946C2211yescharacteristic, complemented
157C2×#66946C2211yescharacteristic, complemented
158C2×#66946C2211yescharacteristic, complemented
159C2×#66945C2211yescharacteristic, complemented
160C2×#66945C2211yescharacteristic, complemented
161C2×C4⋊C4×D11C2211yescharacteristic, complemented
162C2×C4⋊C4×D11C2211yescharacteristic, complemented
163C2×C4⋊C4×D11C2211yescharacteristic, complemented
164C2×#66942C2211yescharacteristic, complemented
165C2×#66942C2211yescharacteristic, complemented
166C2×#66942C2211yescharacteristic, complemented
167C2×#66939C2211yescharacteristic, complemented
168C2×#66939C2211yescharacteristic, complemented
169C2×#66938C2211yescharacteristic, complemented
170C2×#66937C2211yescharacteristic
171C2×#66937C2211yescharacteristic
172C2×#66937C2211yescharacteristic, complemented
173C2×#66937C2211yescharacteristic, complemented
174C2×#66937C2211yescharacteristic, complemented
175C2×#66937C2211yescharacteristic, complemented
176C2×#66937C2211yescharacteristic, complemented
177C2×#66937C2211yescharacteristic, complemented
178C2×#66937C2211yescharacteristic, complemented
179C2×#66937C2211yescharacteristic, complemented
180C2×#66937C2211yescharacteristic, complemented
181C2×#66937C2211yescharacteristic, complemented
182C2×#66936C2211yescharacteristic, complemented
183C2×#66936C2211yescharacteristic, complemented
184C2×#66936C2211yescharacteristic, complemented
185C2×#66936C2211yescharacteristic, complemented
186C2×#66936C2211yescharacteristic, complemented
187C2×#66936C2211yescharacteristic, complemented
188C2×#66936C2211yescharacteristic, complemented
189C2×#66936C2211yescharacteristic, complemented
190C2×#66935C2211yescharacteristic
191C2×#66935C2211yescharacteristic, complemented
192C2×#66935C2211yescharacteristic, complemented
193C2×#66935C2211yescharacteristic, complemented
194C2×#66935C2211yescharacteristic, complemented
195C2×#66935C2211yescharacteristic, complemented
196C2×#66935C2211yescharacteristic, complemented
197C2×#66935C2211yescharacteristic, complemented
198C2×#66935C2211yescharacteristic, complemented
199C2×#66935C2211yescharacteristic, complemented
200C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
201C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
202C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
203C2×C22⋊C4×D11C2211yescharacteristic, complemented
204C2×C22⋊C4×D11C2211yescharacteristic, complemented
205C2×C22⋊C4×D11C2211yescharacteristic, complemented
206C2×C22⋊C4×D11C2211yescharacteristic, complemented
207C2×C22⋊C4×D11C2211yescharacteristic, complemented
208C2×C22⋊C4×D11C2211yescharacteristic, complemented
209C2×C22⋊C4×D11C2211yescharacteristic, complemented
210C2×C22⋊C4×D11C2211yescharacteristic, complemented
211C2×#66932C2211yescharacteristic, complemented
212C2×#66932C2211yescharacteristic, complemented
213C2×#66932C2211yescharacteristic, complemented
214C2×#66930C2211yescharacteristic, complemented
215C2×#66929C2211yescharacteristic, complemented
216C2×C4×D44C2211yescharacteristic, complemented
217C2×C4×D44C2211yescharacteristic, complemented
218C2×C4×D44C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C24×D11C2311yescharacteristic
223C24×D11C2311yescharacteristic
224C24×D11C2311yescharacteristic
225C22×Q8×C11C2311yescharacteristic
226C22×Q8×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C23×C4×C11C2311yescharacteristic
234C23×C4×C11C2311yescharacteristic
235C23×C4×C11C2311yescharacteristic
236C23×C4×C11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2311yescharacteristic
240C22×C22⋊D11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C22×C22⋊D11C2311yescharacteristic
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C22×C22⋊D11C2311yescharacteristic
250C22×C22⋊D11C2311yescharacteristic
251C22×C22⋊D11C2311yescharacteristic
252C22×C22⋊D11C2311yescharacteristic
253C23×Dic11C2311yescharacteristic
254C23×Dic11C2311yescharacteristic
255C2×#4343—44no—
256C2×#4343—44no—
257C2×#4343C2318yescomplemented
258C2×#4343C2318yescomplemented
259C2×D4×D11—44no—
260C2×D4×D11—44no—
261C2×D4×D11—44no—
262C2×D4×D11—44no—
263C2×D4×D11—44no—
264C2×D4×D11—44no—
265C2×D4×D11C2318yes—
266C2×D4×D11C2318yescomplemented
267C2×D4×D11C2318yescomplemented
268C2×D4×D11C2318yescomplemented
269C2×D4×D11C2318yescomplemented
270C2×D4×D11C2318yescomplemented
271C2×#4339—44no—
272C2×#4339C2318yescomplemented
273C22×D44—44no—
274C22×D44—44no—
275C22×D44C2311yescharacteristic
276C22×D44C2311yescharacteristic
277C22×D44C2311yescharacteristic
278C22×D44C2311yescharacteristic
279C22×D44C2311yescharacteristic
280C22×D44C2311yescharacteristic
281C22×D44C2311yescharacteristic
282C22×D44C2311yescharacteristic
283C22×D44C2311yescharacteristic
284C22×D44C2311yescharacteristic
285C22×D44C2311yescharacteristic
286C22×D44C2311yescharacteristic
287C22×D44C2311yescharacteristic
288C22×D44C2311yescharacteristic
289C22×D44C2311yescharacteristic
290C22×D44C2318yescomplemented
291C22×D44C2318yescomplemented
292C22×C4×D11—44no—
293C22×C4×D11C2311yescharacteristic
294C22×C4×D11C2311yescharacteristic
295C22×C4×D11C2311yescharacteristic
296C22×C4×D11C2311yescharacteristic
297C22×C4×D11C2311yescharacteristic
298C22×C4×D11C2311yescharacteristic
299C22×C4×D11C2311yescharacteristic
300C22×C4×D11C2311yescharacteristic
301C22×C4×D11C2311yescharacteristic
302C22×C4×D11C2311yescharacteristic
303C22×C4×D11C2311yescharacteristic
304C22×C4×D11C2311yescharacteristic
305C22×C4×D11C2311yescharacteristic
306C22×C4×D11C2311yescharacteristic
307C22×C4×D11C2311yescharacteristic
308C22×C4×D11C2311yescharacteristic
309C22×C4×D11C2311yescharacteristic
310C22×C4×D11C2318yescomplemented
311C22×Dic22C2311yescharacteristic
312C11×#125C2318yescomplemented
313C11×#124C2318yescomplemented
314C11×#124C2318yescomplemented
315C11×#123C2318yescomplemented
316C11×#123C2318yescomplemented
317C11×#123C2318yescomplemented
318C11×#123C2318yescomplemented
319C11×C22⋊Q8C2318yescomplemented
320C11×C22⋊Q8C2318yescomplemented
321C11×C22⋊Q8C2318yescomplemented
322C11×C22⋊Q8C2318yescomplemented
323C11×#121C2318yescomplemented
324C11×#121C2318yescomplemented
325C11×#121C2318yescomplemented
326C11×#121C2318yescomplemented
327C2×C11×C4⋊C4C2311yescharacteristic
328C2×C11×C4⋊C4C2311yescharacteristic
329C2×C11×C4⋊C4C2311yescharacteristic
330C2×C11×C4⋊C4C2311yescharacteristic
331C2×C11×C4⋊C4C2311yescharacteristic
332C2×C11×C4⋊C4C2311yescharacteristic
333C2×C11×C4⋊C4C2311yescharacteristic
334C2×C11×C4⋊C4C2311yescharacteristic
335C2×C11×C4⋊C4C2311yescharacteristic
336C2×C11×C4⋊C4C2311yescharacteristic
337C2×C11×C22⋊C4C2311yescharacteristic
338C2×C11×C22⋊C4C2311yescharacteristic
339C2×C11×C22⋊C4C2311yescharacteristic
340C2×C11×C22⋊C4C2311yescharacteristic
341C2×C11×C22⋊C4C2311yescharacteristic
342C2×C11×C22⋊C4C2311yescharacteristic
343C2×C11×C22⋊C4C2311yescharacteristic
344C2×C11×C22⋊C4C2311yescharacteristic
345C2×C11×C22⋊C4C2311yescharacteristic
346C2×C11×C22⋊C4C2311yescharacteristic
347C2×C11×C22⋊C4C2311yescharacteristic
348C2×C11×C22⋊C4C2311yescharacteristic
349C2×C42×C11C2311yescharacteristic
350C2×C22⋊Dic11C2311yescharacteristic
351C2×C22⋊Dic11C2311yescharacteristic
352C2×C22⋊Dic11C2311yescharacteristic
353C2×C22⋊Dic11C2311yescharacteristic
354C2×C22⋊Dic11C2311yescharacteristic
355C2×C22⋊Dic11C2311yescharacteristic
356C2×C22⋊Dic11C2311yescharacteristic
357C2×C22⋊Dic11C2311yescharacteristic
358#67000C2318yescomplemented
359#67000C2318yescomplemented
360#66999C2318yescomplemented
361#66999C2318yescomplemented
362#66999C2318yescomplemented
363#66999C2318yescomplemented
364#66993C2318yescomplemented
365#66993C2318yescomplemented
366#66992C2318yescomplemented
367#66992C2318yescomplemented
368#66992C2318yescomplemented
369#66992C2318yescomplemented
370#66992C2318yescomplemented
371#66991C2318yescomplemented
372#66991C2318yescomplemented
373#66991C2318yescomplemented
374#66990C2318yes—
375#66990C2318yescomplemented
376#66990C2318yescomplemented
377#66990C2318yescomplemented
378#66990C2318yescomplemented
379#66990C2318yescomplemented
380#66989C2318yescomplemented
381#66988C2318yescomplemented
382#66983C2318yescomplemented
383#66983C2318yescomplemented
384#66983C2318yescomplemented
385#66982C2318yescomplemented
386#66982C2318yescomplemented
387#66982C2318yescomplemented
388C4×C22⋊D11C2318yescomplemented
389C4×C22⋊D11C2318yescomplemented
390C4×C22⋊D11C2318yescomplemented
391C4×C22⋊D11C2318yescomplemented
392C4×C22⋊D11C2318yescomplemented
393C2×(C2×D11)⋊C4C2311yescharacteristic
394C2×(C2×D11)⋊C4C2311yescharacteristic
395C2×(C2×D11)⋊C4C2311yescharacteristic
396C2×(C2×D11)⋊C4C2311yescharacteristic
397C2×(C2×D11)⋊C4C2311yescharacteristic
398C2×(C2×D11)⋊C4C2311yescharacteristic
399C2×(C2×D11)⋊C4C2311yescharacteristic
400C2×(C2×D11)⋊C4C2311yescharacteristic
401C2×(C2×D11)⋊C4C2311yescharacteristic
402C2×(C2×D11)⋊C4C2311yescharacteristic
403C2×(C2×D11)⋊C4C2311yescharacteristic
404C2×(C2×D11)⋊C4C2311yescharacteristic
405C2×(C2×D11)⋊C4C2311yescharacteristic
406C2×(C2×D11)⋊C4C2311yescharacteristic
407C2×(C2×D11)⋊C4C2311yescharacteristic
408C2×(C2×D11)⋊C4C2311yescharacteristic
409C2×(C2×D11)⋊C4C2311yescharacteristic
410C2×(C2×D11)⋊C4C2311yescharacteristic
411C2×(C2×D11)⋊C4C2311yescharacteristic
412C2×(C2×D11)⋊C4C2311yescharacteristic
413C2×(C2×D11)⋊C4C2311yescharacteristic
414C2×(C2×D11)⋊C4C2311yescharacteristic
415C2×(C2×D11)⋊C4C2311yescharacteristic
416C2×(C2×D11)⋊C4C2311yescharacteristic
417C2×(C2×D11)⋊C4C2311yescharacteristic
418C2×(C2×D11)⋊C4C2311yescharacteristic
419C2×(C2×D11)⋊C4C2311yescharacteristic
420C2×(C2×D11)⋊C4C2311yescharacteristic
421C2×(C2×D11)⋊C4C2311yescharacteristic
422C2×(C2×D11)⋊C4C2311yescharacteristic
423C2×(C2×D11)⋊C4C2318yescomplemented
424C2×C4⋊Dic11C2311yescharacteristic
425C2×C4⋊Dic11C2311yescharacteristic
426C2×C4⋊Dic11C2311yescharacteristic
427C2×C4⋊Dic11C2311yescharacteristic
428C2×C4⋊Dic11C2311yescharacteristic
429C2×C4⋊Dic11C2311yescharacteristic
430C2×Dic11⋊C4C2311yescharacteristic
431C2×Dic11⋊C4C2311yescharacteristic
432C2×Dic11⋊C4C2311yescharacteristic
433C2×Dic11⋊C4C2311yescharacteristic
434C2×Dic11⋊C4C2311yescharacteristic
435C2×Dic11⋊C4C2311yescharacteristic
436C2×Dic11⋊C4C2311yescharacteristic
437C2×Dic11⋊C4C2311yescharacteristic
438C2×Dic11⋊C4C2311yescharacteristic
439C2×Dic11⋊C4C2311yescharacteristic
440C2×Dic11⋊C4C2311yescharacteristic
441C2×Dic11⋊C4C2311yescharacteristic
442C2×Dic11⋊C4C2311yescharacteristic
443C2×Dic11⋊C4C2311yescharacteristic
444C2×C4×Dic11C2311yescharacteristic
445C2×C4×Dic11C2311yescharacteristic
446C2×C4×Dic11C2311yescharacteristic
447C2×C4×Dic11C2311yescharacteristic
448C2×C4×Dic11C2311yescharacteristic
449#66951C2318yescomplemented
450#66951C2318yescomplemented
451#66951C2318yescomplemented
452#66951C2318yescomplemented
453#66950C2318yescomplemented
454#66949C2318yescomplemented
455#66949C2318yescomplemented
456#66949C2318yescomplemented
457#66948C2318yes—
458#66948C2318yescomplemented
459#66948C2318yescomplemented
460#66948C2318yescomplemented
461#66948C2318yescomplemented
462#66948C2318yescomplemented
463#66948C2318yescomplemented
464#66948C2318yescomplemented
465#66948C2318yescomplemented
466#66947C2318yescomplemented
467#66947C2318yescomplemented
468#66947C2318yescomplemented
469#66947C2318yescomplemented
470#66947C2318yescomplemented
471#66947C2318yescomplemented
472#66947C2318yescomplemented
473#66947C2318yescomplemented
474#66947C2318yescomplemented
475#66947C2318yescomplemented
476#66946C2318yescomplemented
477#66946C2318yescomplemented
478#66946C2318yescomplemented
479#66946C2318yescomplemented
480#66946C2318yescomplemented
481#66945C2318yescomplemented
482#66945C2318yescomplemented
483C4⋊C4×D11C2318yescomplemented
484C4⋊C4×D11C2318yescomplemented
485C4⋊C4×D11C2318yescomplemented
486#66942C2318yescomplemented
487#66942C2318yescomplemented
488#66942C2318yescomplemented
489#66939C2318yescomplemented
490#66939C2318yescomplemented
491#66938C2318yescomplemented
492#66937C2318yes—
493#66937C2318yes—
494#66937C2318yescomplemented
495#66937C2318yescomplemented
496#66937C2318yescomplemented
497#66937C2318yescomplemented
498#66937C2318yescomplemented
499#66937C2318yescomplemented
500#66937C2318yescomplemented
501#66937C2318yescomplemented
502#66937C2318yescomplemented
503#66937C2318yescomplemented
504#66936C2318yescomplemented
505#66936C2318yescomplemented
506#66936C2318yescomplemented
507#66936C2318yescomplemented
508#66936C2318yescomplemented
509#66936C2318yescomplemented
510#66936C2318yescomplemented
511#66936C2318yescomplemented
512#66935C2318yes—
513#66935C2318yescomplemented
514#66935C2318yescomplemented
515#66935C2318yescomplemented
516#66935C2318yescomplemented
517#66935C2318yescomplemented
518#66935C2318yescomplemented
519#66935C2318yescomplemented
520#66935C2318yescomplemented
521#66935C2318yescomplemented
522(C22⋊D11)⋊C4C2318yescomplemented
523(C22⋊D11)⋊C4C2318yescomplemented
524(C22⋊D11)⋊C4C2318yescomplemented
525C22⋊C4×D11C2318yescomplemented
526C22⋊C4×D11C2318yescomplemented
527C22⋊C4×D11C2318yescomplemented
528C22⋊C4×D11C2318yescomplemented
529C22⋊C4×D11C2318yescomplemented
530C22⋊C4×D11C2318yescomplemented
531C22⋊C4×D11C2318yescomplemented
532C22⋊C4×D11C2318yescomplemented
533#66932C2318yescomplemented
534#66932C2318yescomplemented
535#66932C2318yescomplemented
536#66930C2318yescomplemented
537#66929C2318yescomplemented
538C4×D44C2318yescomplemented
539C4×D44C2318yescomplemented
540C4×D44C2318yescomplemented
541C2×#3534—111nomaximal, Sylow
542C24×C11C2411yescharacteristic
543C24×C11C2411yescharacteristic
544C24×C11C2411yescharacteristic
545C24×C11C2411yescharacteristic
546C23×D11—24no—
547C23×D11—24no—
548C23×D11—24no—
549C23×D11—24no—
550C23×D11—24no—
551C23×D11—42no—
552C23×D11—42no—
553C23×D11—42no—
554C23×D11—42no—
555C23×D11—42no—
556C23×D11—42no—
557C23×D11—42no—
558C23×D11—42no—
559C23×D11—42no—
560C23×D11—42no—
561C23×D11—42no—
562C23×D11—42no—
563C23×D11—42no—
564C23×D11C2411yescharacteristic
565C23×D11C2411yescharacteristic
566C23×D11C2411yescharacteristic
567C23×D11C2411yescharacteristic
568C23×D11C2411yescharacteristic
569C23×D11C2414yes—
570C23×D11C2411yescharacteristic
571C23×D11C2411yescharacteristic
572C23×D11C2414yes—
573C23×D11C2414yes—
574C23×D11C2414yes—
575C23×D11C2414yes—
576C23×D11C2414yes—
577C2×Q8×C11—42no—
578C2×Q8×C11—42no—
579C2×Q8×C11C2414yes—
580C2×Q8×C11C2414yes—
581C2×D4×C11—42no—
582C2×D4×C11—42no—
583C2×D4×C11—42no—
584C2×D4×C11—42no—
585C2×D4×C11—42no—
586C2×D4×C11—42no—
587C2×D4×C11C2414yes—
588C2×D4×C11C2414yes—
589C2×D4×C11C2414yes—
590C2×D4×C11C2414yes—
591C2×D4×C11C2414yes—
592C2×D4×C11C2414yes—
593C22×C4×C11—42no—
594C22×C4×C11—42no—
595C22×C4×C11—42no—
596C22×C4×C11—42no—
597C22×C4×C11C2411yescharacteristic
598C22×C4×C11C2411yescharacteristic
599C22×C4×C11C2411yescharacteristic
600C22×C4×C11C2411yescharacteristic
601C22×C4×C11C2411yescharacteristic
602C22×C4×C11C2411yescharacteristic
603C22×C4×C11C2411yescharacteristic
604C22×C4×C11C2411yescharacteristic
605C22×C4×C11C2411yescharacteristic
606C22×C4×C11C2411yescharacteristic
607C22×C4×C11C2411yescharacteristic
608C22×C4×C11C2414yes—
609C22×C4×C11C2414yes—
610C22×C4×C11C2414yes—
611C22×C4×C11C2414yes—
612C2×C22⋊D11—24no—
613C2×C22⋊D11—24no—
614C2×C22⋊D11—24no—
615C2×C22⋊D11—42no—
616C2×C22⋊D11—42no—
617C2×C22⋊D11—42no—
618C2×C22⋊D11—42no—
619C2×C22⋊D11—42no—
620C2×C22⋊D11—42no—
621C2×C22⋊D11—42no—
622C2×C22⋊D11—42no—
623C2×C22⋊D11—42no—
624C2×C22⋊D11—42no—
625C2×C22⋊D11—42no—
626C2×C22⋊D11—42no—
627C2×C22⋊D11—42no—
628C2×C22⋊D11C2414yes—
629C2×C22⋊D11C2414yes—
630C2×C22⋊D11C2414yes—
631C2×C22⋊D11C2414yes—
632C2×C22⋊D11C2414yes—
633C2×C22⋊D11C2414yes—
634C2×C22⋊D11C2414yes—
635C2×C22⋊D11C2414yes—
636C2×C22⋊D11C2414yes—
637C2×C22⋊D11C2414yes—
638C2×C22⋊D11C2414yes—
639C2×C22⋊D11C2414yes—
640C2×C22⋊D11C2414yes—
641C2×C22⋊D11C2414yes—
642C2×C22⋊D11C2414yes—
643C2×C22⋊D11C2414yes—
644C22×Dic11—42no—
645C22×Dic11—42no—
646C22×Dic11C2411yescharacteristic
647C22×Dic11C2411yescharacteristic
648C22×Dic11C2411yescharacteristic
649C22×Dic11C2411yescharacteristic
650C22×Dic11C2411yescharacteristic
651C22×Dic11C2411yescharacteristic
652C22×Dic11C2411yescharacteristic
653C22×Dic11C2411yescharacteristic
654C22×Dic11C2411yescharacteristic
655C22×Dic11C2414yes—
656C22×Dic11C2414yes—
657#4343—416no—
658#4343—416no—
659D4×D11—416no—
660D4×D11—416no—
661D4×D11—416no—
662D4×D11—416no—
663D4×D11—416no—
664D4×D11—416no—
665#4339—416no—
666C2×D44—24no—
667C2×D44—24no—
668C2×D44—24no—
669C2×D44—24no—
670C2×D44—24no—
671C2×D44—24no—
672C2×D44—24no—
673C2×D44—42no—
674C2×D44—42no—
675C2×D44—42no—
676C2×D44—42no—
677C2×D44—42no—
678C2×D44—42no—
679C2×D44—42no—
680C2×D44—42no—
681C2×D44—416no—
682C2×D44—416no—
683C2×D44C2414yes—
684C2×D44C2414yes—
685C2×D44C2414yes—
686C2×D44C2414yes—
687C2×D44C2414yes—
688C2×D44C2414yes—
689C2×D44C2414yes—
690C2×D44C2414yes—
691C2×D44C2414yes—
692C2×D44C2414yes—
693C2×D44C2414yes—
694C2×D44C2414yes—
695C2×D44C2414yes—
696C2×D44C2414yes—
697C2×D44C2414yes—
698C2×C4×D11—24no—
699C2×C4×D11—24no—
700C2×C4×D11—24no—
701C2×C4×D11—42no—
702C2×C4×D11—42no—
703C2×C4×D11—42no—
704C2×C4×D11—42no—
705C2×C4×D11—42no—
706C2×C4×D11—42no—
707C2×C4×D11—42no—
708C2×C4×D11—42no—
709C2×C4×D11—42no—
710C2×C4×D11—42no—
711C2×C4×D11—42no—
712C2×C4×D11—42no—
713C2×C4×D11—42no—
714C2×C4×D11—42no—
715C2×C4×D11—416no—
716C2×C4×D11C2414yes—
717C2×C4×D11C2414yes—
718C2×C4×D11C2414yes—
719C2×C4×D11C2414yes—
720C2×C4×D11C2414yes—
721C2×C4×D11C2414yes—
722C2×C4×D11C2414yes—
723C2×C4×D11C2414yes—
724C2×C4×D11C2414yes—
725C2×C4×D11C2414yes—
726C2×C4×D11C2414yes—
727C2×C4×D11C2414yes—
728C2×C4×D11C2414yes—
729C2×C4×D11C2414yes—
730C2×C4×D11C2414yes—
731C2×C4×D11C2414yes—
732C2×C4×D11C2414yes—
733C2×Dic22—42no—
734C2×Dic22C2414yes—
735C11×C4⋊C4C2414yes—
736C11×C4⋊C4C2414yes—
737C11×C4⋊C4C2414yes—
738C11×C4⋊C4C2414yes—
739C11×C4⋊C4C2414yes—
740C11×C4⋊C4C2414yes—
741C11×C4⋊C4C2414yes—
742C11×C4⋊C4C2414yes—
743C11×C4⋊C4C2414yes—
744C11×C4⋊C4C2414yes—
745C11×C22⋊C4C2414yes—
746C11×C22⋊C4C2414yes—
747C11×C22⋊C4C2414yes—
748C11×C22⋊C4C2414yes—
749C11×C22⋊C4C2414yes—
750C11×C22⋊C4C2414yes—
751C11×C22⋊C4C2414yes—
752C11×C22⋊C4C2414yes—
753C11×C22⋊C4C2414yes—
754C11×C22⋊C4C2414yes—
755C11×C22⋊C4C2414yes—
756C11×C22⋊C4C2414yes—
757C42×C11C2414yes—
758C22⋊Dic11C2414yes—
759C22⋊Dic11C2414yes—
760C22⋊Dic11C2414yes—
761C22⋊Dic11C2414yes—
762C22⋊Dic11C2414yes—
763C22⋊Dic11C2414yes—
764C22⋊Dic11C2414yes—
765C22⋊Dic11C2414yes—
766(C2×D11)⋊C4C2414yes—
767(C2×D11)⋊C4C2414yes—
768(C2×D11)⋊C4C2414yes—
769(C2×D11)⋊C4C2414yes—
770(C2×D11)⋊C4C2414yes—
771(C2×D11)⋊C4C2414yes—
772(C2×D11)⋊C4C2414yes—
773(C2×D11)⋊C4C2414yes—
774(C2×D11)⋊C4C2414yes—
775(C2×D11)⋊C4C2414yes—
776(C2×D11)⋊C4C2414yes—
777(C2×D11)⋊C4C2414yes—
778(C2×D11)⋊C4C2414yes—
779(C2×D11)⋊C4C2414yes—
780(C2×D11)⋊C4C2414yes—
781(C2×D11)⋊C4C2414yes—
782(C2×D11)⋊C4C2414yes—
783(C2×D11)⋊C4C2414yes—
784(C2×D11)⋊C4C2414yes—
785(C2×D11)⋊C4C2414yes—
786(C2×D11)⋊C4C2414yes—
787(C2×D11)⋊C4C2414yes—
788(C2×D11)⋊C4C2414yes—
789(C2×D11)⋊C4C2414yes—
790(C2×D11)⋊C4C2414yes—
791(C2×D11)⋊C4C2414yes—
792(C2×D11)⋊C4C2414yes—
793(C2×D11)⋊C4C2414yes—
794(C2×D11)⋊C4C2414yes—
795(C2×D11)⋊C4C2414yes—
796C4⋊Dic11C2414yes—
797C4⋊Dic11C2414yes—
798C4⋊Dic11C2414yes—
799C4⋊Dic11C2414yes—
800C4⋊Dic11C2414yes—
801C4⋊Dic11C2414yes—
802Dic11⋊C4C2414yes—
803Dic11⋊C4C2414yes—
804Dic11⋊C4C2414yes—
805Dic11⋊C4C2414yes—
806Dic11⋊C4C2414yes—
807Dic11⋊C4C2414yes—
808Dic11⋊C4C2414yes—
809Dic11⋊C4C2414yes—
810Dic11⋊C4C2414yes—
811Dic11⋊C4C2414yes—
812Dic11⋊C4C2414yes—
813Dic11⋊C4C2414yes—
814Dic11⋊C4C2414yes—
815Dic11⋊C4C2414yes—
816C4×Dic11C2414yes—
817C4×Dic11C2414yes—
818C4×Dic11C2414yes—
819C4×Dic11C2414yes—
820C4×Dic11C2414yes—
821#3534—1132no—
822C2×#562—111no—
823C2×#562D1111yescharacteristic, complemented
824C2×#560—111no—
825C2×#560—111no—
826C2×#553—111no—
827C2×#553—111no—
828C2×#551—111no—
829C2×#551—111no—
830C2×#546—111no—
831C2×#546—111no—
832C2×#546—111no—
833C2×#546—111no—
834C2×#546—111no—
835C2×#546—111no—
836C2×D42—111no—
837C2×D42—111no—
838C2×#540—111no—
839C2×#540—111no—
840C2×#539—111no—
841C2×#539—111no—
842C2×#539—111no—
843C2×#538—111no—
844C2×#538—111no—
845C2×#538—111no—
846C2×#537—111no—
847C2×#534—111no—
848C2×#534—111no—
849C2×#534—111no—
850C2×#525—111no—
851C22×#123—111no—
852C22×#121—111no—
853C23×C11—22no—
854C23×C11—22no—
855C23×C11—22no—
856C23×C11—22no—
857C23×C11—22no—
858C23×C11—22no—
859C23×C11—22no—
860C23×C11—22no—
861C23×C11—22no—
862C23×C11—22no—
863C23×C11—22no—
864C23×C11—22no—
865C23×C11C2512yes—
866C23×C11C2512yes—
867C23×C11C2512yes—
868C23×C11C2512yes—
869C23×C11C2511yescharacteristic
870C22×D11—22no—
871C22×D11—22no—
872C22×D11—22no—
873C22×D11—22no—
874C22×D11—22no—
875C22×D11—22no—
876C22×D11—22no—
877C22×D11—22no—
878C22×D11—22no—
879C22×D11—22no—
880C22×D11—22no—
881C22×D11—22no—
882C22×D11—22no—
883C22×D11—22no—
884C22×D11—22no—
885C22×D11—22no—
886C22×D11—22no—
887C22×D11—22no—
888C22×D11—22no—
889C22×D11—28no—
890C22×D11—28no—
891C22×D11—28no—
892C22×D11—28no—
893C22×D11—28no—
894C22×D11—44no—
895C22×D11—416no—
896C22×D11—44no—
897C22×D11—44no—
898C22×D11—44no—
899C22×D11—44no—
900C22×D11—44no—
901C22×D11—44no—
902C22×D11—44no—
903C22×D11—44no—
904C22×D11—44no—
905C22×D11—44no—
906C22×D11—44no—
907C22×D11—44no—
908C22×D11—88no—
909C22×D11—88no—
910C22×D11—88no—
911C22×D11—88no—
912C22×D11—88no—
913C22×D11H(5,𝔽2)14yes—
914C22×D11H(5,𝔽2)14yes—
915C22×D11C2512yes—
916C22×D11C2512yes—
917C22×D11C2512yes—
918C22×D11C2512yes—
919C22×D11C2512yes—
920C22×D11C2512yes—
921C22×D11C2512yes—
922Q8×C11—44no—
923Q8×C11—44no—
924D4×C11—44no—
925D4×C11—44no—
926D4×C11—44no—
927D4×C11—44no—
928D4×C11—44no—
929D4×C11—44no—
930C2×C4×C11—22no—
931C2×C4×C11—22no—
932C2×C4×C11—22no—
933C2×C4×C11—22no—
934C2×C4×C11—22no—
935C2×C4×C11—22no—
936C2×C4×C11—22no—
937C2×C4×C11—22no—
938C2×C4×C11—22no—
939C2×C4×C11—22no—
940C2×C4×C11—22no—
941C2×C4×C11—44no—
942C2×C4×C11—44no—
943C2×C4×C11—44no—
944C2×C4×C11—44no—
945C2×C4×C11C2512yes—
946C2×C4×C11C2512yes—
947C2×C4×C11C2512yes—
948C2×C4×C11C2512yes—
949C2×C4×C11C2512yes—
950C2×C4×C11C2512yes—
951C2×C4×C11C2512yes—
952C2×C4×C11C2512yes—
953C2×C4×C11C2512yes—
954C2×C4×C11C2512yes—
955C2×C4×C11C2512yes—
956C22⋊D11—28no—
957C22⋊D11—28no—
958C22⋊D11—28no—
959C22⋊D11—44no—
960C22⋊D11—44no—
961C22⋊D11—44no—
962C22⋊D11—44no—
963C22⋊D11—44no—
964C22⋊D11—44no—
965C22⋊D11—44no—
966C22⋊D11—44no—
967C22⋊D11—44no—
968C22⋊D11—44no—
969C22⋊D11—44no—
970C22⋊D11—44no—
971C22⋊D11—44no—
972C2×Dic11—22no—
973C2×Dic11—22no—
974C2×Dic11—22no—
975C2×Dic11—22no—
976C2×Dic11—22no—
977C2×Dic11—22no—
978C2×Dic11—22no—
979C2×Dic11—22no—
980C2×Dic11—22no—
981C2×Dic11—44no—
982C2×Dic11—44no—
983C2×Dic11C2512yes—
984C2×Dic11C2512yes—
985C2×Dic11C2512yes—
986C2×Dic11C2512yes—
987C2×Dic11C2512yes—
988C2×Dic11C2512yes—
989C2×Dic11C2512yes—
990C2×Dic11C2512yes—
991C2×Dic11C2512yes—
992D44—28no—
993D44—28no—
994D44—28no—
995D44—28no—
996D44—28no—
997D44—28no—
998D44—28no—
999D44—44no—
1000D44—44no—
1001D44—44no—
1002D44—44no—
1003D44—44no—
1004D44—44no—
1005D44—44no—
1006D44—44no—
1007C4×D11—28no—
1008C4×D11—28no—
1009C4×D11—28no—
1010C4×D11—44no—
1011C4×D11—44no—
1012C4×D11—44no—
1013C4×D11—44no—
1014C4×D11—44no—
1015C4×D11—44no—
1016C4×D11—44no—
1017C4×D11—44no—
1018C4×D11—44no—
1019C4×D11—44no—
1020C4×D11—44no—
1021C4×D11—44no—
1022C4×D11—44no—
1023C4×D11—44no—
1024Dic22—44no—
1025C22×#41—111no—
1026C22×#41—111no—
1027C22×#41—111no—
1028C23×D4—111no—
1029C23×D4—111no—
1030C23×D4—111no—
1031C23×D4—111no—
1032C23×D4—111no—
1033C23×D4—111no—
1034C23×D4—111no—
1035C23×D4—111no—
1036C24×C4—111no—
1037#562—1116no—
1038#562C2×D11116yescomplemented
1039#560—1116no—
1040#560—1116no—
1041#553—1116no—
1042#553—1116no—
1043#551—1116no—
1044#551—1116no—
1045#546—1116no—
1046#546—1116no—
1047#546—1116no—
1048#546—1116no—
1049#546—1116no—
1050#546—1116no—
1051D42—1116no—
1052D42—1116no—
1053#540—1116no—
1054#540—1116no—
1055#539—1116no—
1056#539—1116no—
1057#539—1116no—
1058#538—1116no—
1059#538—1116no—
1060#538—1116no—
1061#537—1116no—
1062#534—1116no—
1063#534—1116no—
1064#534—1116no—
1065C2×#127—111no—
1066C2×#127—111no—
1067C2×#126—111no—
1068C2×#126—111no—
1069C2×#126—111no—
1070C2×#126—111no—
1071C2×#126—111no—
1072C2×#126—111no—
1073C2×#126—111no—
1074C2×#126—111no—
1075C2×#125—111no—
1076C2×#125—111no—
1077C2×#125—111no—
1078C2×#125C2×D1111yescharacteristic, complemented
1079C2×#124—111no—
1080C2×#124—111no—
1081C2×#124—111no—
1082C2×#124—111no—
1083C2×#124C2×D1111yescharacteristic, complemented
1084C2×#124C2×D1111yescharacteristic, complemented
1085#525—1116no—
1086C2×#123—111no—
1087C2×#123—111no—
1088C2×#123—111no—
1089C2×#123—111no—
1090C2×#123—1116no—
1091C2×#123—111no—
1092C2×#123—111no—
1093C2×#123—111no—
1094C2×#123—111no—
1095C2×#123—111no—
1096C2×#123—111no—
1097C2×#123—111no—
1098C2×#123—111no—
1099C2×#123—111no—
1100C2×#123—111no—
1101C2×#123—111no—
1102C2×#123—111no—
1103C2×#123—111no—
1104C2×#123—111no—
1105C2×#123—111no—
1106C2×#123—111no—
1107C2×#123—111no—
1108C2×#123—111no—
1109C2×#123—111no—
1110C2×#123—111no—
1111C2×#123C2×D1111yescharacteristic, complemented
1112C2×#123C2×D1111yescharacteristic, complemented
1113C2×#123C2×D1111yescharacteristic, complemented
1114C2×#123C2×D1111yescharacteristic, complemented
1115C2×C22⋊Q8—111no—
1116C2×C22⋊Q8—111no—
1117C2×C22⋊Q8—111no—
1118C2×C22⋊Q8—111no—
1119C2×C22⋊Q8—111no—
1120C2×C22⋊Q8—111no—
1121C2×C22⋊Q8—111no—
1122C2×C22⋊Q8—111no—
1123C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1124C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1125C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1126C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1127C2×#121—111no—
1128C2×#121—111no—
1129C2×#121—111no—
1130C2×#121—111no—
1131C2×#121—111no—
1132C2×#121—111no—
1133C2×#121—111no—
1134C2×#121—111no—
1135C2×#121—111no—
1136C2×#121—111no—
1137C2×#121—111no—
1138C2×#121—1116no—
1139C2×#121—111no—
1140C2×#121—111no—
1141C2×#121—111no—
1142C2×#121—111no—
1143C2×#121—111no—
1144C2×#121—111no—
1145C2×#121—111no—
1146C2×#121—111no—
1147C2×#121—111no—
1148C2×#121—111no—
1149C2×#121—111no—
1150C2×#121—111no—
1151C2×#121—111no—
1152C2×#121—111no—
1153C2×#121—111no—
1154C2×#121—111no—
1155C2×#121—111no—
1156C2×#121—111no—
1157C2×#121—111no—
1158C2×#121—111no—
1159C2×#121—111no—
1160C2×#121C2×D1111yescharacteristic, complemented
1161C2×#121C2×D1111yescharacteristic, complemented
1162C2×#121C2×D1111yescharacteristic, complemented
1163C2×#121C2×D1111yescharacteristic, complemented
1164C2×#120—111no—
1165C2×#120—111no—
1166C2×#120—111no—
1167C2×#120—111no—
1168C2×#120—111no—
1169C2×#120—111no—
1170C2×#120—111no—
1171C2×#120—111no—
1172C2×#120—111no—
1173C2×#120—111no—
1174C2×#120—111no—
1175C2×#120—111no—
1176C2×#120—111no—
1177C2×#120—111no—
1178C2×#120—111no—
1179C2×#120—111no—
1180C2×C4×D4—111no—
1181C2×C4×D4—111no—
1182C2×C4×D4—111no—
1183C2×C4×D4—111no—
1184C2×C4×D4—111no—
1185C2×C4×D4—111no—
1186C2×C4×D4—111no—
1187C2×C4×D4—111no—
1188C2×C4×D4—111no—
1189C2×C4×D4—111no—
1190C2×C4×D4—111no—
1191C2×C4×D4—111no—
1192C2×C4×D4—111no—
1193C2×C4×D4—111no—
1194C2×C4×D4—111no—
1195C2×C4×D4—111no—
1196C2×#117—111no—
1197C2×#117—111no—
1198C2×#117—111no—
1199C22×C4⋊C4—111no—
1200C22×C4⋊C4—111no—
1201C22×C4⋊C4—111no—
1202C22×C22⋊C4—111no—
1203C22×C22⋊C4—111no—
1204C22×C22⋊C4—111no—
1205C22×C22⋊C4—111no—
1206C22×C22⋊C4—111no—
1207C22×C22⋊C4—111no—
1208C22×C22⋊C4—111no—
1209C22×C22⋊C4—111no—
1210C22×C22⋊C4—111no—
1211C22×C11—22no—
1212C22×C11—22no—
1213C22×C11—22no—
1214C22×C11—22no—
1215C22×C11—22no—
1216C22×C11—22no—
1217C22×C11—22no—
1218C22×C11—22no—
1219C22×C11—22no—
1220C22×C11—22no—
1221C22×C11—22no—
1222C22×C11—22no—
1223C22×C11—44no—
1224C22×C11—44no—
1225C22×C11—44no—
1226C22×C11—44no—
1227C22×C11C2×H(5,𝔽2)12yes—
1228C22×C11C2×H(5,𝔽2)12yes—
1229C22×C11#58512yes—
1230C22×C11C2611yescharacteristic
1231C2×D11—22no—
1232C2×D11—22no—
1233C2×D11—22no—
1234C2×D11—22no—
1235C2×D11—28no—
1236C2×D11—28no—
1237C2×D11—22no—
1238C2×D11—22no—
1239C2×D11—22no—
1240C2×D11—22no—
1241C2×D11—22no—
1242C2×D11—22no—
1243C2×D11—22no—
1244C2×D11—22no—
1245C2×D11—22no—
1246C2×D11—22no—
1247C2×D11—22no—
1248C2×D11—22no—
1249C2×D11—22no—
1250C2×D11—22no—
1251C2×D11—22no—
1252C2×D11—416no—
1253C2×D11—44no—
1254C2×D11—44no—
1255C2×D11—44no—
1256C2×D11—44no—
1257C2×D11—44no—
1258C2×D11—88no—
1259C2×D11—88no—
1260C2×D11—88no—
1261C2×D11—88no—
1262C2×D11—88no—
1263C2×D11C2×H(5,𝔽2)14yes—
1264C2×D11C2×H(5,𝔽2)14yes—
1265C4×C11—22no—
1266C4×C11—22no—
1267C4×C11—22no—
1268C4×C11—22no—
1269C4×C11—22no—
1270C4×C11—22no—
1271C4×C11—22no—
1272C4×C11—22no—
1273C4×C11—22no—
1274C4×C11—22no—
1275C4×C11—22no—
1276Dic11—22no—
1277Dic11—22no—
1278Dic11—22no—
1279Dic11—22no—
1280Dic11—22no—
1281Dic11—22no—
1282Dic11—22no—
1283Dic11—22no—
1284Dic11—22no—
1285C25—111no—
1286C25—111no—
1287C25—111no—
1288C25—111no—
1289C25—111no—
1290C25—111no—
1291C2×#41—118no—
1292C2×#41—118no—
1293C2×#41—118no—
1294C2×#41—444no—
1295C2×#41—444no—
1296C2×#41—444no—
1297C22×Q8—111no—
1298C22×Q8C22×D1111yescharacteristic
1299C22×Q8C22×D1111yescharacteristic
1300C22×D4—111no—
1301C22×D4—111no—
1302C22×D4—111no—
1303C22×D4—111no—
1304C22×D4—111no—
1305C22×D4—111no—
1306C22×D4—111no—
1307C22×D4—111no—
1308C22×D4—111no—
1309C22×D4—111no—
1310C22×D4—111no—
1311C22×D4—111no—
1312C22×D4—111no—
1313C22×D4—111no—
1314C22×D4—111no—
1315C22×D4—111no—
1316C22×D4—118no—
1317C22×D4—118no—
1318C22×D4—118no—
1319C22×D4—118no—
1320C22×D4—118no—
1321C22×D4—118no—
1322C22×D4—111no—
1323C22×D4—111no—
1324C22×D4—111no—
1325C22×D4—111no—
1326C22×D4—111no—
1327C22×D4—111no—
1328C22×D4—111no—
1329C22×D4—111no—
1330C22×D4—111no—
1331C22×D4—111no—
1332C22×D4—111no—
1333C22×D4—111no—
1334C22×D4—111no—
1335C22×D4—111no—
1336C22×D4—111no—
1337C22×D4—118no—
1338C22×D4—118no—
1339C22×D4—444no—
1340C22×D4—444no—
1341C22×D4—444no—
1342C22×D4—444no—
1343C22×D4—444no—
1344C22×D4—444no—
1345C22×D4—444no—
1346C22×D4—444no—
1347C22×D4C22×D1111yescharacteristic
1348C22×D4C22×D1111yescharacteristic
1349C22×D4C22×D1111yescharacteristic
1350C22×D4C22×D1111yescharacteristic
1351C22×D4C22×D1111yescharacteristic
1352C22×D4C22×D1111yescharacteristic
1353C23×C4—111no—
1354C23×C4—111no—
1355C23×C4—111no—
1356C23×C4—111no—
1357C23×C4—111no—
1358C23×C4—111no—
1359C23×C4—111no—
1360C23×C4—111no—
1361C23×C4—111no—
1362C23×C4—111no—
1363C23×C4—111no—
1364C23×C4—111no—
1365C23×C4—111no—
1366C23×C4—111no—
1367C23×C4—111no—
1368C23×C4—111no—
1369C23×C4—111no—
1370C23×C4—111no—
1371C23×C4—111no—
1372C23×C4—118no—
1373C23×C4—444no—
1374C23×C4C22×D1111yescharacteristic
1375C23×C4C22×D1111yescharacteristic
1376C23×C4C22×D1111yescharacteristic
1377C23×C4C22×D1111yescharacteristic
1378#127—118no—
1379#127—118no—
1380#126—118no—
1381#126—118no—
1382#126—118no—
1383#126—118no—
1384#126—118no—
1385#126—118no—
1386#126—118no—
1387#126—118no—
1388#125—118no—
1389#125—118no—
1390#125—118no—
1391#125C22×D1118yescomplemented
1392#124—118no—
1393#124—118no—
1394#124—118no—
1395#124—118no—
1396#124C22×D1118yescomplemented
1397#124C22×D1118yescomplemented
1398#123—118no—
1399#123—118no—
1400#123—118no—
1401#123—118no—
1402#123—118no—
1403#123—118no—
1404#123—118no—
1405#123—118no—
1406#123—118no—
1407#123—118no—
1408#123—118no—
1409#123—118no—
1410#123—118no—
1411#123—118no—
1412#123—118no—
1413#123—118no—
1414#123—118no—
1415#123—118no—
1416#123—118no—
1417#123—118no—
1418#123—118no—
1419#123—118no—
1420#123—118no—
1421#123—118no—
1422#123C22×D1118yescomplemented
1423#123C22×D1118yescomplemented
1424#123C22×D1118yescomplemented
1425#123C22×D1118yescomplemented
1426C22⋊Q8—118no—
1427C22⋊Q8—118no—
1428C22⋊Q8—118no—
1429C22⋊Q8—118no—
1430C22⋊Q8—118no—
1431C22⋊Q8—118no—
1432C22⋊Q8—118no—
1433C22⋊Q8—118no—
1434C22⋊Q8C22×D1118yescomplemented
1435C22⋊Q8C22×D1118yescomplemented
1436C22⋊Q8C22×D1118yescomplemented
1437C22⋊Q8C22×D1118yescomplemented
1438#121—118no—
1439#121—118no—
1440#121—118no—
1441#121—118no—
1442#121—118no—
1443#121—118no—
1444#121—118no—
1445#121—118no—
1446#121—118no—
1447#121—118no—
1448#121—118no—
1449#121—118no—
1450#121—118no—
1451#121—118no—
1452#121—118no—
1453#121—118no—
1454#121—118no—
1455#121—118no—
1456#121—118no—
1457#121—118no—
1458#121—118no—
1459#121—118no—
1460#121—118no—
1461#121—118no—
1462#121—118no—
1463#121—118no—
1464#121—118no—
1465#121—118no—
1466#121—118no—
1467#121—118no—
1468#121—118no—
1469#121—118no—
1470#121C22×D1118yescomplemented
1471#121C22×D1118yescomplemented
1472#121C22×D1118yescomplemented
1473#121C22×D1118yescomplemented
1474#120—118no—
1475#120—118no—
1476#120—118no—
1477#120—118no—
1478#120—118no—
1479#120—118no—
1480#120—118no—
1481#120—118no—
1482#120—118no—
1483#120—118no—
1484#120—118no—
1485#120—118no—
1486#120—118no—
1487#120—118no—
1488#120—118no—
1489#120—118no—
1490C4×D4—118no—
1491C4×D4—118no—
1492C4×D4—118no—
1493C4×D4—118no—
1494C4×D4—118no—
1495C4×D4—118no—
1496C4×D4—118no—
1497C4×D4—118no—
1498C4×D4—118no—
1499C4×D4—118no—
1500C4×D4—118no—
1501C4×D4—118no—
1502C4×D4—118no—
1503C4×D4—118no—
1504C4×D4—118no—
1505C4×D4—118no—
1506#117—118no—
1507#117—118no—
1508#117—118no—
1509C2×C4⋊C4—111no—
1510C2×C4⋊C4—111no—
1511C2×C4⋊C4—111no—
1512C2×C4⋊C4—111no—
1513C2×C4⋊C4—111no—
1514C2×C4⋊C4—111no—
1515C2×C4⋊C4—111no—
1516C2×C4⋊C4—111no—
1517C2×C4⋊C4—111no—
1518C2×C4⋊C4—111no—
1519C2×C4⋊C4—111no—
1520C2×C4⋊C4—111no—
1521C2×C4⋊C4—111no—
1522C2×C4⋊C4—111no—
1523C2×C4⋊C4—111no—
1524C2×C4⋊C4—111no—
1525C2×C4⋊C4—111no—
1526C2×C4⋊C4—111no—
1527C2×C4⋊C4—111no—
1528C2×C4⋊C4—111no—
1529C2×C4⋊C4—118no—
1530C2×C4⋊C4—118no—
1531C2×C4⋊C4—118no—
1532C2×C4⋊C4C22×D1111yescharacteristic
1533C2×C4⋊C4C22×D1111yescharacteristic
1534C2×C4⋊C4C22×D1111yescharacteristic
1535C2×C4⋊C4C22×D1111yescharacteristic
1536C2×C4⋊C4C22×D1111yescharacteristic
1537C2×C4⋊C4C22×D1111yescharacteristic
1538C2×C4⋊C4C22×D1111yescharacteristic
1539C2×C4⋊C4C22×D1111yescharacteristic
1540C2×C4⋊C4C22×D1111yescharacteristic
1541C2×C4⋊C4C22×D1111yescharacteristic
1542C2×C22⋊C4—111no—
1543C2×C22⋊C4—111no—
1544C2×C22⋊C4—111no—
1545C2×C22⋊C4—111no—
1546C2×C22⋊C4—111no—
1547C2×C22⋊C4—111no—
1548C2×C22⋊C4—111no—
1549C2×C22⋊C4—111no—
1550C2×C22⋊C4—111no—
1551C2×C22⋊C4—111no—
1552C2×C22⋊C4—111no—
1553C2×C22⋊C4—111no—
1554C2×C22⋊C4—111no—
1555C2×C22⋊C4—111no—
1556C2×C22⋊C4—111no—
1557C2×C22⋊C4—111no—
1558C2×C22⋊C4—111no—
1559C2×C22⋊C4—111no—
1560C2×C22⋊C4—111no—
1561C2×C22⋊C4—111no—
1562C2×C22⋊C4—111no—
1563C2×C22⋊C4—111no—
1564C2×C22⋊C4—111no—
1565C2×C22⋊C4—111no—
1566C2×C22⋊C4—118no—
1567C2×C22⋊C4—111no—
1568C2×C22⋊C4—111no—
1569C2×C22⋊C4—111no—
1570C2×C22⋊C4—111no—
1571C2×C22⋊C4—111no—
1572C2×C22⋊C4—111no—
1573C2×C22⋊C4—111no—
1574C2×C22⋊C4—111no—
1575C2×C22⋊C4—111no—
1576C2×C22⋊C4—111no—
1577C2×C22⋊C4—111no—
1578C2×C22⋊C4—111no—
1579C2×C22⋊C4—111no—
1580C2×C22⋊C4—111no—
1581C2×C22⋊C4—118no—
1582C2×C22⋊C4—118no—
1583C2×C22⋊C4—118no—
1584C2×C22⋊C4—118no—
1585C2×C22⋊C4—118no—
1586C2×C22⋊C4—118no—
1587C2×C22⋊C4—118no—
1588C2×C22⋊C4—118no—
1589C2×C22⋊C4C22×D1111yescharacteristic
1590C2×C22⋊C4C22×D1111yescharacteristic
1591C2×C22⋊C4C22×D1111yescharacteristic
1592C2×C22⋊C4C22×D1111yescharacteristic
1593C2×C22⋊C4C22×D1111yescharacteristic
1594C2×C22⋊C4C22×D1111yescharacteristic
1595C2×C22⋊C4C22×D1111yescharacteristic
1596C2×C22⋊C4C22×D1111yescharacteristic
1597C2×C22⋊C4C22×D1111yescharacteristic
1598C2×C22⋊C4C22×D1111yescharacteristic
1599C2×C22⋊C4C22×D1111yescharacteristic
1600C2×C22⋊C4C22×D1111yescharacteristic
1601C2×C42—111no—
1602C2×C42—111no—
1603C2×C42—111no—
1604C2×C42—111no—
1605C2×C42—111no—
1606C2×C42C22×D1111yescharacteristic
1607C2×C11—42no—
1608C2×C11—42no—
1609C2×C11—42no—
1610C2×C11—42no—
1611C2×C11#353414yescomplemented
1612C2×C11C22×H(5,𝔽2)11yescharacteristic
1613C2×C11C22×H(5,𝔽2)11yescharacteristic
1614C2×C11C2×#58511yescharacteristic
1615D11—24no—
1616D11—24no—
1617D11—42no—
1618D11—42no—
1619D11—42no—
1620D11—42no—
1621D11—42no—
1622C24—111no—
1623C24—111no—
1624C24—111no—
1625C24—111no—
1626C24—111no—
1627C24—111no—
1628C24—111no—
1629C24—114no—
1630C24—114no—
1631C24—114no—
1632C24—114no—
1633C24—114no—
1634C24—114no—
1635C24—224no—
1636C24—224no—
1637C24—224no—
1638C24—224no—
1639C24—224no—
1640C24—442no—
1641C24—442no—
1642C24—442no—
1643C24—442no—
1644C24—442no—
1645C24—442no—
1646C24—442no—
1647C24—442no—
1648C24—442no—
1649C24—442no—
1650C24—442no—
1651C24—442no—
1652C24—442no—
1653C24C23×D1111yescharacteristic
1654C24C23×D1111yescharacteristic
1655C24C23×D1111yescharacteristic
1656C24C23×D1111yescharacteristic
1657#41—4416no—
1658#41—4416no—
1659#41—4416no—
1660C2×Q8—42no—
1661C2×Q8—42no—
1662C2×Q8—114no—
1663C2×Q8—442no—
1664C2×Q8C23×D1114yes—
1665C2×Q8C23×D1114yes—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—114no—
1673C2×D4—114no—
1674C2×D4—114no—
1675C2×D4—114no—
1676C2×D4—114no—
1677C2×D4—114no—
1678C2×D4—114no—
1679C2×D4—114no—
1680C2×D4—114no—
1681C2×D4—114no—
1682C2×D4—114no—
1683C2×D4—114no—
1684C2×D4—114no—
1685C2×D4—114no—
1686C2×D4—114no—
1687C2×D4—114no—
1688C2×D4—114no—
1689C2×D4—114no—
1690C2×D4—114no—
1691C2×D4—114no—
1692C2×D4—114no—
1693C2×D4—114no—
1694C2×D4—114no—
1695C2×D4—114no—
1696C2×D4—114no—
1697C2×D4—114no—
1698C2×D4—114no—
1699C2×D4—114no—
1700C2×D4—114no—
1701C2×D4—114no—
1702C2×D4—114no—
1703C2×D4—224no—
1704C2×D4—224no—
1705C2×D4—224no—
1706C2×D4—224no—
1707C2×D4—224no—
1708C2×D4—224no—
1709C2×D4—224no—
1710C2×D4—224no—
1711C2×D4—224no—
1712C2×D4—224no—
1713C2×D4—442no—
1714C2×D4—442no—
1715C2×D4—442no—
1716C2×D4—442no—
1717C2×D4—442no—
1718C2×D4—442no—
1719C2×D4—442no—
1720C2×D4—442no—
1721C2×D4—4416no—
1722C2×D4—4416no—
1723C2×D4—4416no—
1724C2×D4—442no—
1725C2×D4—442no—
1726C2×D4—442no—
1727C2×D4—442no—
1728C2×D4—442no—
1729C2×D4—442no—
1730C2×D4—442no—
1731C2×D4—442no—
1732C2×D4—442no—
1733C2×D4—442no—
1734C2×D4—442no—
1735C2×D4—442no—
1736C2×D4—442no—
1737C2×D4—4416no—
1738C2×D4—4416no—
1739C2×D4—4416no—
1740C2×D4—4416no—
1741C2×D4—4416no—
1742C2×D4C23×D1114yes—
1743C2×D4C23×D1114yes—
1744C2×D4C23×D1114yes—
1745C2×D4C23×D1114yes—
1746C2×D4C23×D1114yes—
1747C2×D4C23×D1114yes—
1748C22×C4—42no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—111no—
1753C22×C4—111no—
1754C22×C4—111no—
1755C22×C4—111no—
1756C22×C4—111no—
1757C22×C4—111no—
1758C22×C4—111no—
1759C22×C4—111no—
1760C22×C4—111no—
1761C22×C4—114no—
1762C22×C4—114no—
1763C22×C4—114no—
1764C22×C4—114no—
1765C22×C4—114no—
1766C22×C4—114no—
1767C22×C4—114no—
1768C22×C4—114no—
1769C22×C4—114no—
1770C22×C4—114no—
1771C22×C4—114no—
1772C22×C4—114no—
1773C22×C4—114no—
1774C22×C4—114no—
1775C22×C4—114no—
1776C22×C4—114no—
1777C22×C4—114no—
1778C22×C4—114no—
1779C22×C4—114no—
1780C22×C4—224no—
1781C22×C4—224no—
1782C22×C4—224no—
1783C22×C4—442no—
1784C22×C4—442no—
1785C22×C4—442no—
1786C22×C4—442no—
1787C22×C4—442no—
1788C22×C4—442no—
1789C22×C4—442no—
1790C22×C4—442no—
1791C22×C4—442no—
1792C22×C4—442no—
1793C22×C4—442no—
1794C22×C4—442no—
1795C22×C4—442no—
1796C22×C4—442no—
1797C22×C4—4416no—
1798C22×C4—442no—
1799C22×C4—442no—
1800C22×C4C23×D1111yescharacteristic
1801C22×C4C23×D1111yescharacteristic
1802C22×C4C23×D1111yescharacteristic
1803C22×C4C23×D1111yescharacteristic
1804C22×C4C23×D1111yescharacteristic
1805C22×C4C23×D1111yescharacteristic
1806C22×C4C23×D1111yescharacteristic
1807C22×C4C23×D1111yescharacteristic
1808C22×C4C23×D1111yescharacteristic
1809C22×C4C23×D1111yescharacteristic
1810C22×C4C23×D1111yescharacteristic
1811C22×C4C23×D1114yes—
1812C22×C4C23×D1114yes—
1813C22×C4C23×D1114yes—
1814C22×C4C23×D1114yes—
1815C4⋊C4—114no—
1816C4⋊C4—114no—
1817C4⋊C4—114no—
1818C4⋊C4—114no—
1819C4⋊C4—114no—
1820C4⋊C4—114no—
1821C4⋊C4—114no—
1822C4⋊C4—114no—
1823C4⋊C4—114no—
1824C4⋊C4—114no—
1825C4⋊C4—114no—
1826C4⋊C4—114no—
1827C4⋊C4—114no—
1828C4⋊C4—114no—
1829C4⋊C4—114no—
1830C4⋊C4—114no—
1831C4⋊C4—114no—
1832C4⋊C4—114no—
1833C4⋊C4—114no—
1834C4⋊C4—114no—
1835C4⋊C4C23×D1114yes—
1836C4⋊C4C23×D1114yes—
1837C4⋊C4C23×D1114yes—
1838C4⋊C4C23×D1114yes—
1839C4⋊C4C23×D1114yes—
1840C4⋊C4C23×D1114yes—
1841C4⋊C4C23×D1114yes—
1842C4⋊C4C23×D1114yes—
1843C4⋊C4C23×D1114yes—
1844C4⋊C4C23×D1114yes—
1845C22⋊C4—114no—
1846C22⋊C4—114no—
1847C22⋊C4—114no—
1848C22⋊C4—114no—
1849C22⋊C4—114no—
1850C22⋊C4—114no—
1851C22⋊C4—114no—
1852C22⋊C4—114no—
1853C22⋊C4—114no—
1854C22⋊C4—114no—
1855C22⋊C4—114no—
1856C22⋊C4—114no—
1857C22⋊C4—114no—
1858C22⋊C4—114no—
1859C22⋊C4—114no—
1860C22⋊C4—114no—
1861C22⋊C4—114no—
1862C22⋊C4—114no—
1863C22⋊C4—114no—
1864C22⋊C4—114no—
1865C22⋊C4—114no—
1866C22⋊C4—114no—
1867C22⋊C4—114no—
1868C22⋊C4—114no—
1869C22⋊C4—114no—
1870C22⋊C4—114no—
1871C22⋊C4—114no—
1872C22⋊C4—114no—
1873C22⋊C4—114no—
1874C22⋊C4—114no—
1875C22⋊C4—114no—
1876C22⋊C4—114no—
1877C22⋊C4—114no—
1878C22⋊C4—114no—
1879C22⋊C4—114no—
1880C22⋊C4—114no—
1881C22⋊C4—114no—
1882C22⋊C4—114no—
1883C22⋊C4C23×D1114yes—
1884C22⋊C4C23×D1114yes—
1885C22⋊C4C23×D1114yes—
1886C22⋊C4C23×D1114yes—
1887C22⋊C4C23×D1114yes—
1888C22⋊C4C23×D1114yes—
1889C22⋊C4C23×D1114yes—
1890C22⋊C4C23×D1114yes—
1891C22⋊C4C23×D1114yes—
1892C22⋊C4C23×D1114yes—
1893C22⋊C4C23×D1114yes—
1894C22⋊C4C23×D1114yes—
1895C42—114no—
1896C42—114no—
1897C42—114no—
1898C42—114no—
1899C42—114no—
1900C42C23×D1114yes—
1901C11C2×#353411yescharacteristic, complemented, Sylow
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—114no—
1915C23—114no—
1916C23—112no—
1917C23—112no—
1918C23—112no—
1919C23—112no—
1920C23—112no—
1921C23—112no—
1922C23—112no—
1923C23—228no—
1924C23—228no—
1925C23—228no—
1926C23—228no—
1927C23—228no—
1928C23—222no—
1929C23—222no—
1930C23—222no—
1931C23—222no—
1932C23—222no—
1933C23—222no—
1934C23—222no—
1935C23—222no—
1936C23—222no—
1937C23—222no—
1938C23—222no—
1939C23—222no—
1940C23—222no—
1941C23—222no—
1942C23—222no—
1943C23—222no—
1944C23—222no—
1945C23—222no—
1946C23—222no—
1947C23—444no—
1948C23—444no—
1949C23—444no—
1950C23—444no—
1951C23—444no—
1952C23—444no—
1953C23—444no—
1954C23—444no—
1955C23—444no—
1956C23—444no—
1957C23—444no—
1958C23—444no—
1959C23—444no—
1960C23—4416no—
1961C23—888no—
1962C23—888no—
1963C23—888no—
1964C23—888no—
1965C23—888no—
1966C23C24×D1112yes—
1967C23C24×D1112yes—
1968C23C24×D1112yes—
1969C23C24×D1112yes—
1970C23C24×D1111yescharacteristic
1971Q8—44no—
1972Q8—44no—
1973Q8—444no—
1974D4—44no—
1975D4—44no—
1976D4—44no—
1977D4—44no—
1978D4—44no—
1979D4—44no—
1980D4—228no—
1981D4—228no—
1982D4—228no—
1983D4—228no—
1984D4—228no—
1985D4—228no—
1986D4—228no—
1987D4—228no—
1988D4—228no—
1989D4—228no—
1990D4—444no—
1991D4—444no—
1992D4—444no—
1993D4—444no—
1994D4—444no—
1995D4—444no—
1996D4—444no—
1997D4—444no—
1998D4—444no—
1999D4—444no—
2000D4—444no—
2001D4—444no—
2002D4—444no—
2003D4—444no—
2004D4—444no—
2005D4—444no—
2006D4—444no—
2007D4—444no—
2008D4—444no—
2009D4—444no—
2010D4—444no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—44no—
2023C2×C4—44no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—112no—
2027C2×C4—112no—
2028C2×C4—112no—
2029C2×C4—112no—
2030C2×C4—112no—
2031C2×C4—112no—
2032C2×C4—112no—
2033C2×C4—112no—
2034C2×C4—112no—
2035C2×C4—228no—
2036C2×C4—228no—
2037C2×C4—228no—
2038C2×C4—222no—
2039C2×C4—222no—
2040C2×C4—222no—
2041C2×C4—222no—
2042C2×C4—222no—
2043C2×C4—222no—
2044C2×C4—222no—
2045C2×C4—222no—
2046C2×C4—222no—
2047C2×C4—444no—
2048C2×C4—444no—
2049C2×C4—444no—
2050C2×C4—444no—
2051C2×C4—444no—
2052C2×C4—444no—
2053C2×C4—444no—
2054C2×C4—444no—
2055C2×C4—444no—
2056C2×C4—444no—
2057C2×C4—444no—
2058C2×C4—444no—
2059C2×C4—444no—
2060C2×C4—444no—
2061C2×C4—444no—
2062C2×C4—444no—
2063C2×C4C24×D1112yes—
2064C2×C4C24×D1112yes—
2065C2×C4C24×D1112yes—
2066C2×C4C24×D1112yes—
2067C2×C4C24×D1112yes—
2068C2×C4C24×D1112yes—
2069C2×C4C24×D1112yes—
2070C2×C4C24×D1112yes—
2071C2×C4C24×D1112yes—
2072C2×C4C24×D1112yes—
2073C2×C4C24×D1112yes—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—44no—
2087C22—44no—
2088C22—44no—
2089C22—44no—
2090C22—114no—
2091C22—114no—
2092C22—222no—
2093C22—222no—
2094C22—222no—
2095C22—222no—
2096C22—228no—
2097C22—228no—
2098C22—222no—
2099C22—222no—
2100C22—222no—
2101C22—222no—
2102C22—222no—
2103C22—222no—
2104C22—222no—
2105C22—222no—
2106C22—222no—
2107C22—222no—
2108C22—222no—
2109C22—222no—
2110C22—222no—
2111C22—222no—
2112C22—222no—
2113C22—4416no—
2114C22—444no—
2115C22—444no—
2116C22—444no—
2117C22—444no—
2118C22—444no—
2119C22—888no—
2120C22—888no—
2121C22—888no—
2122C22—888no—
2123C22—888no—
2124C22D11×H(5,𝔽2)12yes—
2125C22D11×H(5,𝔽2)12yes—
2126C22#1062345712yes—
2127C22C25×D1111yescharacteristic
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—22no—
2139C4—222no—
2140C4—222no—
2141C4—222no—
2142C4—222no—
2143C4—222no—
2144C4—222no—
2145C4—222no—
2146C4—222no—
2147C4—222no—
2148C2—42no—
2149C2—42no—
2150C2—42no—
2151C2—42no—
2152C2—224no—
2153C2—224no—
2154C2—442no—
2155C2—442no—
2156C2—442no—
2157C2—442no—
2158C2—442no—
2159C2#1308280814yesdirect product factor
2160C2C2×D11×H(5,𝔽2)11yescharacteristic
2161C2C2×D11×H(5,𝔽2)11yescharacteristic
2162C2C2×#1062345711yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#562C2
socleC23×C11C25
hypercenterC2×#562D11
hypocenterC11C2×#3534
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#562

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #13082808C2direct (N × H)
2. C2×#10623178C2semidirect
3. C2×#10623197C2semidirect
4. C2×#10623151C2semidirect
5. C2×#10623226C2semidirect
6. C2×#10623192C2semidirect
7. C2×#10623190C2semidirect
8. C2×#10623168C2semidirect
9. C2×#10623143C2semidirect
10. C2×#10623207C2semidirect
11. C2×#10623207C2semidirect
12. C2×#10623185C2semidirect
13. C2×#10623161C2semidirect
14. C2×#10623161C2semidirect
15. C2×#10623140C2semidirect
16. C2×#10623140C2semidirect
17. C2×#10623194C2semidirect
18. C2×#10623146C2semidirect
19. C2×#10623223C2semidirect
20. C2×#10623169C2semidirect
21. C2×#10623169C2semidirect
22. C2×#10623209C2semidirect
23. C2×#10623209C2semidirect
24. C2×#10623144C2semidirect
25. C2×#10623160C2semidirect
26. C2×#10623184C2semidirect
27. C2×#10623184C2semidirect
28. C2×#10623136C2semidirect
29. C2×#10623158C2semidirect
30. C2×D11×#123C2semidirect
31. C2×D11×#121C2semidirect
32. C2×C11×#562C2semidirect
33. C22×#4343C22semidirect
34. C22×#4343C22semidirect
36. C22×D4×D11C22semidirect
37. C22×D4×D11C22semidirect
38. C22×D4×D11C22semidirect
39. C22×D4×D11C22semidirect
40. C22×D4×D11C22semidirect
41. C22×#4339C22semidirect
42. C23×D44C22semidirect
43. C23×D44C22semidirect
44. C23×C4×D11C22semidirect
45. C11×#562C22semidirect
46. C2×C11×#125C22semidirect
47. C2×C11×#124C22semidirect
48. C2×C11×#124C22semidirect
49. C2×C11×#123C22semidirect
50. C2×C11×#123C22semidirect
51. C2×C11×#123C22semidirect
52. C2×C11×#123C22semidirect
53. C2×C11×C22⋊Q8C22semidirect
54. C2×C11×C22⋊Q8C22semidirect
55. C2×C11×C22⋊Q8C22semidirect
56. C2×C11×C22⋊Q8C22semidirect
57. C2×C11×#121C22semidirect
58. C2×C11×#121C22semidirect
59. C2×C11×#121C22semidirect
60. C2×C11×#121C22semidirect
61. C2×#67000C22semidirect
62. C2×#67000C22semidirect
63. C2×#66999C22semidirect
64. C2×#66999C22semidirect
65. C2×#66999C22semidirect
66. C2×#66999C22semidirect
67. C2×#66993C22semidirect
68. C2×#66993C22semidirect
69. C2×#66992C22semidirect
70. C2×#66992C22semidirect
71. C2×#66992C22semidirect
72. C2×#66992C22semidirect
73. C2×#66992C22semidirect
74. C2×#66991C22semidirect
75. C2×#66991C22semidirect
76. C2×#66991C22semidirect
78. C2×#66990C22semidirect
79. C2×#66990C22semidirect
80. C2×#66990C22semidirect
81. C2×#66990C22semidirect
82. C2×#66990C22semidirect
83. C2×#66989C22semidirect
84. C2×#66988C22semidirect
85. C2×#66983C22semidirect
86. C2×#66983C22semidirect
87. C2×#66983C22semidirect
88. C2×#66982C22semidirect
89. C2×#66982C22semidirect
90. C2×#66982C22semidirect
91. C2×C4×C22⋊D11C22semidirect
92. C2×C4×C22⋊D11C22semidirect
93. C2×C4×C22⋊D11C22semidirect
94. C2×C4×C22⋊D11C22semidirect
95. C2×C4×C22⋊D11C22semidirect
96. C22×(C2×D11)⋊C4C22semidirect
97. #10623226C22semidirect
98. #10623223C22semidirect
99. #10623209C22semidirect
100. #10623209C22semidirect
101. #10623207C22semidirect
102. #10623207C22semidirect
103. #10623197C22semidirect
104. #10623194C22semidirect
105. #10623192C22semidirect
106. #10623190C22semidirect
107. #10623185C22semidirect
108. #10623184C22semidirect
109. #10623184C22semidirect
110. D11×#123C22semidirect
111. #10623178C22semidirect
112. #10623169C22semidirect
113. #10623169C22semidirect
114. #10623168C22semidirect
115. #10623161C22semidirect
116. #10623161C22semidirect
117. #10623160C22semidirect
118. #10623158C22semidirect
119. #10623151C22semidirect
120. #10623146C22semidirect
121. #10623144C22semidirect
122. #10623143C22semidirect
123. #10623140C22semidirect
124. #10623140C22semidirect
125. #10623136C22semidirect
126. D11×#121C22semidirect
127. C2×#66951C22semidirect
128. C2×#66951C22semidirect
129. C2×#66951C22semidirect
130. C2×#66951C22semidirect
131. C2×#66950C22semidirect
132. C2×#66949C22semidirect
133. C2×#66949C22semidirect
134. C2×#66949C22semidirect
136. C2×#66948C22semidirect
137. C2×#66948C22semidirect
138. C2×#66948C22semidirect
139. C2×#66948C22semidirect
140. C2×#66948C22semidirect
141. C2×#66948C22semidirect
142. C2×#66948C22semidirect
143. C2×#66948C22semidirect
144. C2×#66947C22semidirect
145. C2×#66947C22semidirect
146. C2×#66947C22semidirect
147. C2×#66947C22semidirect
148. C2×#66947C22semidirect
149. C2×#66947C22semidirect
150. C2×#66947C22semidirect
151. C2×#66947C22semidirect
152. C2×#66947C22semidirect
153. C2×#66947C22semidirect
154. C2×#66946C22semidirect
155. C2×#66946C22semidirect
156. C2×#66946C22semidirect
157. C2×#66946C22semidirect
158. C2×#66946C22semidirect
159. C2×#66945C22semidirect
160. C2×#66945C22semidirect
161. C2×C4⋊C4×D11C22semidirect
162. C2×C4⋊C4×D11C22semidirect
163. C2×C4⋊C4×D11C22semidirect
164. C2×#66942C22semidirect
165. C2×#66942C22semidirect
166. C2×#66942C22semidirect
167. C2×#66939C22semidirect
168. C2×#66939C22semidirect
169. C2×#66938C22semidirect
172. C2×#66937C22semidirect
173. C2×#66937C22semidirect
174. C2×#66937C22semidirect
175. C2×#66937C22semidirect
176. C2×#66937C22semidirect
177. C2×#66937C22semidirect
178. C2×#66937C22semidirect
179. C2×#66937C22semidirect
180. C2×#66937C22semidirect
181. C2×#66937C22semidirect
182. C2×#66936C22semidirect
183. C2×#66936C22semidirect
184. C2×#66936C22semidirect
185. C2×#66936C22semidirect
186. C2×#66936C22semidirect
187. C2×#66936C22semidirect
188. C2×#66936C22semidirect
189. C2×#66936C22semidirect
191. C2×#66935C22semidirect
192. C2×#66935C22semidirect
193. C2×#66935C22semidirect
194. C2×#66935C22semidirect
195. C2×#66935C22semidirect
196. C2×#66935C22semidirect
197. C2×#66935C22semidirect
198. C2×#66935C22semidirect
199. C2×#66935C22semidirect
200. C2×(C22⋊D11)⋊C4C22semidirect
201. C2×(C22⋊D11)⋊C4C22semidirect
202. C2×(C22⋊D11)⋊C4C22semidirect
203. C2×C22⋊C4×D11C22semidirect
204. C2×C22⋊C4×D11C22semidirect
205. C2×C22⋊C4×D11C22semidirect
206. C2×C22⋊C4×D11C22semidirect
207. C2×C22⋊C4×D11C22semidirect
208. C2×C22⋊C4×D11C22semidirect
209. C2×C22⋊C4×D11C22semidirect
210. C2×C22⋊C4×D11C22semidirect
211. C2×#66932C22semidirect
212. C2×#66932C22semidirect
213. C2×#66932C22semidirect
214. C2×#66930C22semidirect
215. C2×#66929C22semidirect
216. C2×C4×D44C22semidirect
217. C2×C4×D44C22semidirect
218. C2×C4×D44C22semidirect
257. C2×#4343C23semidirect
258. C2×#4343C23semidirect
266. C2×D4×D11C23semidirect
267. C2×D4×D11C23semidirect
268. C2×D4×D11C23semidirect
269. C2×D4×D11C23semidirect
270. C2×D4×D11C23semidirect
272. C2×#4339C23semidirect
290. C22×D44C23semidirect
291. C22×D44C23semidirect
310. C22×C4×D11C23semidirect
312. C11×#125C23semidirect
313. C11×#124C23semidirect
314. C11×#124C23semidirect
315. C11×#123C23semidirect
316. C11×#123C23semidirect
317. C11×#123C23semidirect
318. C11×#123C23semidirect
319. C11×C22⋊Q8C23semidirect
320. C11×C22⋊Q8C23semidirect
321. C11×C22⋊Q8C23semidirect
322. C11×C22⋊Q8C23semidirect
323. C11×#121C23semidirect
324. C11×#121C23semidirect
325. C11×#121C23semidirect
326. C11×#121C23semidirect
358. #67000C23semidirect
359. #67000C23semidirect
360. #66999C23semidirect
361. #66999C23semidirect
362. #66999C23semidirect
363. #66999C23semidirect
364. #66993C23semidirect
365. #66993C23semidirect
366. #66992C23semidirect
367. #66992C23semidirect
368. #66992C23semidirect
369. #66992C23semidirect
370. #66992C23semidirect
371. #66991C23semidirect
372. #66991C23semidirect
373. #66991C23semidirect
375. #66990C23semidirect
376. #66990C23semidirect
377. #66990C23semidirect
378. #66990C23semidirect
379. #66990C23semidirect
380. #66989C23semidirect
381. #66988C23semidirect
382. #66983C23semidirect
383. #66983C23semidirect
384. #66983C23semidirect
385. #66982C23semidirect
386. #66982C23semidirect
387. #66982C23semidirect
388. C4×C22⋊D11C23semidirect
389. C4×C22⋊D11C23semidirect
390. C4×C22⋊D11C23semidirect
391. C4×C22⋊D11C23semidirect
392. C4×C22⋊D11C23semidirect
423. C2×(C2×D11)⋊C4C23semidirect
449. #66951C23semidirect
450. #66951C23semidirect
451. #66951C23semidirect
452. #66951C23semidirect
453. #66950C23semidirect
454. #66949C23semidirect
455. #66949C23semidirect
456. #66949C23semidirect
458. #66948C23semidirect
459. #66948C23semidirect
460. #66948C23semidirect
461. #66948C23semidirect
462. #66948C23semidirect
463. #66948C23semidirect
464. #66948C23semidirect
465. #66948C23semidirect
466. #66947C23semidirect
467. #66947C23semidirect
468. #66947C23semidirect
469. #66947C23semidirect
470. #66947C23semidirect
471. #66947C23semidirect
472. #66947C23semidirect
473. #66947C23semidirect
474. #66947C23semidirect
475. #66947C23semidirect
476. #66946C23semidirect
477. #66946C23semidirect
478. #66946C23semidirect
479. #66946C23semidirect
480. #66946C23semidirect
481. #66945C23semidirect
482. #66945C23semidirect
483. C4⋊C4×D11C23semidirect
484. C4⋊C4×D11C23semidirect
485. C4⋊C4×D11C23semidirect
486. #66942C23semidirect
487. #66942C23semidirect
488. #66942C23semidirect
489. #66939C23semidirect
490. #66939C23semidirect
491. #66938C23semidirect
494. #66937C23semidirect
495. #66937C23semidirect
496. #66937C23semidirect
497. #66937C23semidirect
498. #66937C23semidirect
499. #66937C23semidirect
500. #66937C23semidirect
501. #66937C23semidirect
502. #66937C23semidirect
503. #66937C23semidirect
504. #66936C23semidirect
505. #66936C23semidirect
506. #66936C23semidirect
507. #66936C23semidirect
508. #66936C23semidirect
509. #66936C23semidirect
510. #66936C23semidirect
511. #66936C23semidirect
513. #66935C23semidirect
514. #66935C23semidirect
515. #66935C23semidirect
516. #66935C23semidirect
517. #66935C23semidirect
518. #66935C23semidirect
519. #66935C23semidirect
520. #66935C23semidirect
521. #66935C23semidirect
522. (C22⋊D11)⋊C4C23semidirect
523. (C22⋊D11)⋊C4C23semidirect
524. (C22⋊D11)⋊C4C23semidirect
525. C22⋊C4×D11C23semidirect
526. C22⋊C4×D11C23semidirect
527. C22⋊C4×D11C23semidirect
528. C22⋊C4×D11C23semidirect
529. C22⋊C4×D11C23semidirect
530. C22⋊C4×D11C23semidirect
531. C22⋊C4×D11C23semidirect
532. C22⋊C4×D11C23semidirect
533. #66932C23semidirect
534. #66932C23semidirect
535. #66932C23semidirect
536. #66930C23semidirect
537. #66929C23semidirect
538. C4×D44C23semidirect
539. C4×D44C23semidirect
540. C4×D44C23semidirect
823. C2×#562D11semidirect
1038. #562C2×D11semidirect
1078. C2×#125C2×D11semidirect
1083. C2×#124C2×D11semidirect
1084. C2×#124C2×D11semidirect
1111. C2×#123C2×D11semidirect
1112. C2×#123C2×D11semidirect
1113. C2×#123C2×D11semidirect
1114. C2×#123C2×D11semidirect
1123. C2×C22⋊Q8C2×D11semidirect
1124. C2×C22⋊Q8C2×D11semidirect
1125. C2×C22⋊Q8C2×D11semidirect
1126. C2×C22⋊Q8C2×D11semidirect
1160. C2×#121C2×D11semidirect
1161. C2×#121C2×D11semidirect
1162. C2×#121C2×D11semidirect
1163. C2×#121C2×D11semidirect
1391. #125C22×D11semidirect
1396. #124C22×D11semidirect
1397. #124C22×D11semidirect
1422. #123C22×D11semidirect
1423. #123C22×D11semidirect
1424. #123C22×D11semidirect
1425. #123C22×D11semidirect
1434. C22⋊Q8C22×D11semidirect
1435. C22⋊Q8C22×D11semidirect
1436. C22⋊Q8C22×D11semidirect
1437. C22⋊Q8C22×D11semidirect
1470. #121C22×D11semidirect
1471. #121C22×D11semidirect
1472. #121C22×D11semidirect
1473. #121C22×D11semidirect
1611. C2×C11#3534semidirect
1901. C11C2×#3534semidirect
2159. C2#13082808direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#130828082
C2×#106231782
C2×#106231972
C2×#106231512
C2×#106232262
C2×#106231922
C2×#106231902
C2×#106231682
C2×#106231432
C2×#106232072
C2×#106231852
C2×#106231612
C2×#106231402
C2×#106231942
C2×#106231462
C2×#106232232
C2×#106231692
C2×#106232092
C2×#106231442
C2×#106231602
C2×#106231842
C2×#106231362
C2×#106231582
C2×D11×#1232
C2×D11×#1212
C2×C11×#5622
C2×#353411